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Finding the Fourth Proportional to 302.41, 452.94 and 180.82

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Solution

The fourth proportional to 302.41, 452.94 and 180.82 is: 270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.41 : 452.94 = 180.82 : x
  2. Step 2: Convert to fraction form
    302.41/452.94 = 180.82/x
  3. Step 3: Cross multiply
    302.41x = 452.94 × 180.82
  4. Step 4: Simplify right side
    302.41x = 81,900.61
  5. Step 5: Solve for x
    x = 81,900.61/302.41
  6. Step 6: Final answer
    x = 270.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.